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Chapter 15: Q12Q (page 616)
Define “fringe field.”
Fringe field is described as the peripheral field of magnet that remains outside the magnetic core.
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A rod with uniformly distributed charge is long. We need to calculate at a distance of from the midpoint of the rod. Which equation for the electric field of a rod should we use? (1) Exact, (2) Approximate, (3) Either exact or approximate, (4) Neither—we have to do it numerically, (5) Neither—we need to integrate.
A solid plastic sphere of radius has a charge on its surface (Figure 15.70). A concentric spherical metal shell of inner radius and outer radius carries a charge on the inner surface and a charge on the outer surface. , , and are positive numbers, and the total charge on the metal shell is greater than .
At an observation location a distance from the center, determine the magnitude and direction of the electric field in the following regions, and explain briefly in each case. For parts role="math" localid="1656931802199" , be sure to give both the direction and the magnitude of the electric field, and explain briefly: (a)role="math" localid="1656932347681" (inside the plastic sphere), (b)role="math" localid="1656932286893" (in the air gap), (c)role="math" localid="1656932322994" (in the metal),(d)role="math" localid="1656932390135" (outside the metal).(e) Supposerole="math" localid="1656932377163" . What isrole="math" localid="1656932400004" ? Explain fully on the basis of fundamental principles. (f) What can you say about the molecular polarization in the plastic? Explain briefly. Include a drawing if appropriate.
A student said, “The electric field inside a uniformly charged sphere is always zero.” Describe a situation where this is not true.
A capacitor consists of two large metal disks of radius 1.1 m placed parallel to each other, a distance of 1.2 mm apart. The capacitor is charged up to have an increasing amount of charge +Q on one disk and −Q on the other. At about what value of Q does a spark appear between the disks?
Consider the algebraic expression for the electric field of a uniformly charged ring, at a location on the axis of the ring. Q is the charge on the entire ring, and is the charge on one piece of the ring. is the angle subtended by one piece of the ring (or, alternatively, is the arc length of one piece). What is, expressed in terms of given constants and an integration variable? What are the integration limits?
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